8th grade algebra: radicals

please help me solve these

1. 2√5/8 + 4√3/8 - 1/2√68

2. √4k-5 +1=8
(the radical sign goes over 4k-5)

3. (x+4)*2 /3 =8

4. Write the value of the discriminant of each equation. Then use it to decide how many different real-number roots the equation has.
x*2-6x+2=0

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asked by jenna
  1. Answer to number 3:

    2/3(x+4) = 8
    2(x+4) = 24
    2x+8 = 24
    2x = 16
    x = 8

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    posted by L
  2. Answer to number 3 is wrong. (didn't realise it was x+4 to the power of two thirds. Sorry):

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    posted by L
  3. Looks like Jenna is using * as the sign for exponents.
    In #3 , no brackets were used around the 2/3, so it has to be read as

    ((x+4)^2)/3 = 8
    then
    (x+4)^2 = 24
    x+4 = +/- sqrt(24)

    x = -4 +/- 2sqrt(6)

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    posted by Reiny

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